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Finding the Fourth Proportional to 3,351.64, 5,027.08 and 886.66

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Solution

The fourth proportional to 3,351.64, 5,027.08 and 886.66 is: 1,329.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351.64 : 5,027.08 = 886.66 : x
  2. Step 2: Convert to fraction form
    3,351.64/5,027.08 = 886.66/x
  3. Step 3: Cross multiply
    3,351.64x = 5,027.08 × 886.66
  4. Step 4: Simplify right side
    3,351.64x = 4,457,310.75
  5. Step 5: Solve for x
    x = 4,457,310.75/3,351.64
  6. Step 6: Final answer
    x = 1,329.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.